CN115204006A - Soil mass effective vibration participating quality determination method for vibration analysis of large-scale vibration table - Google Patents

Soil mass effective vibration participating quality determination method for vibration analysis of large-scale vibration table Download PDF

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CN115204006A
CN115204006A CN202210700503.4A CN202210700503A CN115204006A CN 115204006 A CN115204006 A CN 115204006A CN 202210700503 A CN202210700503 A CN 202210700503A CN 115204006 A CN115204006 A CN 115204006A
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vibration
soil body
analysis
scale
participating
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付仰强
张同亿
王晋锴
秦亚丽
饶建兵
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China IPPR International Engineering Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/32Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
    • G01N3/34Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces generated by mechanical means, e.g. hammer blows
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/0202Control of the test
    • G01N2203/0212Theories, calculations
    • G01N2203/0216Finite elements
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/06Indicating or recording means; Sensing means
    • G01N2203/067Parameter measured for estimating the property
    • G01N2203/0688Time or frequency

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Abstract

The invention provides a soil mass effective vibration participating quality determining method for vibration analysis of a large-scale vibrating table, which comprises the following steps: s101, establishing a finite element solid model of a large-scale vibration table foundation and a surrounding soil body, defining material attributes, dividing grids, and setting constraint and boundary conditions; s102, performing modal analysis based on the established finite element model, and extracting the vibration frequency of the first 2-order vibration mode; s103, setting simple harmonic excitation load by using the extracted vibration frequency, applying the simple harmonic excitation load to a base surface, and performing harmonic response analysis; s104, extracting the maximum acceleration a1 and the acceleration a2 of the soil body boundary point in the analysis result, and determining the size of the vibration-participating soil body according to the ratio of the a1 to the a2 so as to determine the effective vibration-participating quality of the soil body. The method reasonably determines the vibration participating quality of the soil body in the basic dynamic analysis by the ratio of the vibration response to the maximum response of the boundary point, is simple and feasible, is easy to operate, and has engineering popularization and application values.

Description

Soil mass effective vibration participating quality determination method for vibration analysis of large-scale vibration table
Technical Field
The invention relates to the field of civil engineering, in particular to a soil mass effective vibration participating quality determining method for vibration analysis of a large-scale vibrating table.
Background
Due to small geometric size and working load, a complete entity model of peripheral constraint can be built as much as possible to ensure the calculation accuracy when a finite element entity model is built. The large-scale vibrating table foundation is large in geometric dimension, the working form of the actuator exciting load is complex, the calculation cost is high, and if the soil body solid model around the restraining vibrating table foundation is too large, the computer calculation capacity is overloaded, the calculation time is long, and the calculation cost is greatly increased. In order to optimize the calculation time and accuracy of finite element analysis of the foundation of the large-scale vibrating table, the effective vibration participating quality of the soil body around the foundation of the large-scale vibrating table must be accurately evaluated, and the physical model geometric dimension of the soil body around the foundation is reasonably optimized, so that no effective method exists at present.
Therefore, there is a need for new technical solutions to at least partially solve the problems of the prior art.
Disclosure of Invention
Aiming at overcoming the defects of the prior art, the method for determining the effective vibration participating quality of the soil body for vibration analysis of the large-scale vibration table is provided for finite element analysis of the large-scale earthquake simulation vibration table foundation, the method is simple to operate and convenient to implement, the complexity and the calculation time of modeling are reduced under the condition that reasonable and sufficient boundary constraint conditions are provided for the large-scale vibration table foundation, the calculation cost is saved for finite element analysis, and the method has higher engineering value.
According to one aspect of the invention, a method for determining effective soil vibration participating quality for vibration analysis of a large-scale vibrating table is provided, which specifically comprises the following steps:
s101, carrying out entity modeling on a large-scale vibration table foundation and a surrounding soil body based on finite element analysis, defining material attributes, grid sizes and unit types of all entities, and setting boundary conditions of the bottom and the periphery of the soil body;
s102, performing modal analysis based on the established finite element model, and extracting the vibration frequency of the first 6-order vibration mode;
s103, utilizing the extracted vibration frequency f corresponding to the front 6-order vibration mode i Setting simple harmonic excitation load
Figure BDA0003703787360000021
Wherein a is i The first six-order vibration modes are 0.4, 0.3, 0.1, 0.05, 0.025 and 0.025, omega i =2*3.14*f i ,F 0 Taking the maximum value of the output of the vibrating table actuator; applying the simple harmonic load to a corresponding base surface of the actuator, and performing harmonic response analysis; and
s104, extracting and comparing the maximum acceleration a1 in the analysis result with the acceleration a2 of a certain point near the soil body boundary, if the a2/a1 is less than 5%, performing the step S105, if the a2/a1 is not less than 5%, adjusting the soil body size in the step S101, and repeating the steps S101-S104 until the a2/a1 is less than 5%; and
and S105, determining the effective vibration participation quality of the soil body according to the soil body size determined in the S101.
According to an embodiment of the invention, the initial size of the soil mass solid model is not less than 10 times the basic geometrical size of the large vibration table.
According to the embodiment of the invention, the simple harmonic excitation load is vibration acceleration, and the amplitude of the vibration acceleration is the maximum acceleration of the vibration table under the full-load state.
According to the embodiment of the invention, the effective vibration mass of the soil body is determined according to the geometric dimension and the density of the vibration-participating soil body.
According to an embodiment of the invention, the soil body boundary adopts a bottom hinged constraint, and the periphery adopts a viscoelastic boundary.
According to an embodiment of the present invention, wherein the table top size of the large vibration table is not less than 10m × 10m.
According to another aspect of the invention, there is provided a soil mass effective oscillation quality determination system for large-scale vibration table vibration analysis, comprising: one or more processors; and a memory storing instructions executable by the one or more processors to cause the system to perform the method according to the invention.
The invention has the beneficial effects that:
the method is simple to operate and convenient to implement, can effectively avoid the problems of computer computing capacity overload, long computing time and low accuracy, optimizes the computing time and accuracy of the basic finite element analysis of the large-scale vibrating table, reduces the complexity of a model debugging stage, is economic and efficient, and has high engineering application value.
The above and other objects, advantages and features of the present invention will become more apparent to those skilled in the art from the following detailed description of specific embodiments thereof, taken in conjunction with the accompanying drawings.
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Some specific embodiments of the invention will be described in detail hereinafter by way of example and not by way of limitation with reference to the accompanying drawings. Objects and features of the present invention will become more apparent from the following description taken in conjunction with the accompanying drawings, in which,
FIG. 1 is a flow chart of a soil mass effective vibration participating quality determination method for vibration analysis of a large-scale vibration table according to an embodiment of the invention.
Detailed Description
For a clear description of the solution according to the invention, preferred embodiments are given below and are described in detail with reference to the accompanying drawings. The following description is merely exemplary in nature and is in no way intended to limit the application or uses of the disclosure.
It will be appreciated that the finite element analysis methods, modal analysis etc. to which the present invention relates are known per se, for example finite element modelling, harmonic response analysis etc. and so the present invention focuses on the process of determining the effective reference mass of the earth using a combination of these known techniques.
Referring to fig. 1, the method for determining the effective soil vibration mass for vibration analysis of a large-scale vibrating table in the embodiment includes the following steps;
first, collect the relevant technical data, including the table top and the basic size of the vibration table: in the embodiment, the size of the table top of the vibration table is 12mx12m, and the size of the base of the vibration table is 40mx40mx15m;
carrying out entity modeling on the foundation and the peripheral soil body of the large-scale vibration table by using related data information based on finite element analysis (finite element analysis software can be used), and defining the material attribute, the grid size and the unit type of each entity, wherein the soil body size is 400mx400mx150m, and the bottom of the soil body is hinged;
performing modal analysis based on the finite element model, and extracting the vibration frequency w of the first 6 orders of vibration modes 1 、w 2
Setting simple harmonic excitation load F = sin (w) by using the vibration frequency 1 t)+cos(w 2 t) in which a i The first six-order vibration modes are 0.4, 0.3, 0.1, 0.05, 0.025 and 0.025, omega i =2*3.14*f i ,F 0 Taking the maximum value of the output of the vibration table actuator; applying the simple harmonic load to a corresponding base surface of the actuator, and performing harmonic response analysis;
extracting the corresponding frequency w 1 、w 2 The soil body + the acceleration cloud picture of the basic size model; and extracting the maximum acceleration a of the vibration table base in the acceleration cloud chart 1 And recording plane position coordinates x, y and z;
extracting accelerations a of soil boundary elements 2 If a 2 /a 1 If the soil mass size is larger than 5%, adjusting and enlarging the soil mass size, and repeating the steps; if a 2 /a 1 Less than 5% and a2 less than 0.001m/s 2 And determining the soil size in the existing model as the geometric size of the vibration-participating soil. In this example, a 2 /a 1 The value of (b) is 0.03, meeting the requirements.
And then, according to the geometric dimension and the soil density of the vibration participating soil body, namely, the volume is multiplied by the density, the effective vibration participating mass of the soil body is further determined.
The embodiment of the invention also provides a soil mass effective vibration participating quality determining system for vibration analysis of the large-scale vibrating table, which can comprise one or more processors; and a memory storing instructions executable by the one or more processors to cause the system to perform the method according to the invention.
The method for determining the effective soil vibration participating quality for vibration analysis of the large-scale vibrating table is simple to operate and convenient to implement, can effectively avoid the problems of overload of computer computing capacity, long computing time and low accuracy, optimizes the computing time and accuracy of basic finite element analysis of the large-scale vibrating table, reduces the complexity of a model debugging stage, is economic and efficient, and has high engineering application value.
While the present invention has been described with reference to the particular illustrative embodiments, it is not to be restricted by the embodiments but only by the appended claims. It is to be understood by those skilled in the art that variations and modifications of the embodiments of the present invention may be made without departing from the scope and spirit of the invention.

Claims (7)

1. A soil mass effective vibration participating quality determination method for vibration analysis of a large-scale vibration table is characterized by comprising the following steps:
s101, carrying out entity modeling on a large-scale vibration table foundation and a surrounding soil body based on finite element analysis, defining material attributes, grid sizes and unit types of all entities, and setting soil body sizes, soil body bottom and surrounding boundary conditions;
s102, performing modal analysis based on the established finite element model, and extracting the vibration frequency of the first 6-order vibration mode;
s103, utilizing the extracted vibration frequency f corresponding to the first 6 orders of vibration modes i Setting simple harmonic excitation load
Figure FDA0003703787350000011
Wherein a is i As weighting factors, the first six-order vibration modes are respectively 0.4, 0.3, 0.1, 0.05, 0.025 and 0.025, omega i =2*3.14*f i ,F 0 Taking the maximum value of the output of the vibrating table actuator; applying the simple harmonic load to a corresponding base surface of the actuator, and performing harmonic response analysis; and
s104, extracting and comparing the maximum acceleration a1 in the analysis result with the acceleration a2 of a certain point near the soil body boundary, if a2/a1 is less than 5%, performing step S105, if a2/a1 is not less than 5%, adjusting the soil body size in the step S101, and repeating the steps S101-S104 until a2/a1 is less than 5%; and
and S105, determining the effective vibration participation quality of the soil body according to the soil body size determined in the S101.
2. The soil mass effective vibration participating quality determining method for large-scale vibrating table vibration analysis according to claim 1, characterized in that: the initial size of the soil body solid model is not less than 10 times of the basic geometric size of the large-scale vibration table.
3. The soil mass effective vibration participating quality determining method for large-scale vibrating table vibration analysis according to claim 1, characterized in that: the simple harmonic excitation load is vibration acceleration, and the amplitude of the simple harmonic excitation load is the maximum acceleration of the vibration table in a full-load state.
4. The soil mass effective vibration participation quality determination method for the vibration analysis of the large-scale vibrating table as claimed in claim 1, characterized in that: and determining the effective vibration participating quality of the soil body according to the geometric dimension of the vibration participating soil body and the soil body density.
5. The soil mass effective vibration participating quality determining method for large-scale vibrating table vibration analysis according to claim 1, characterized in that: the table top size of the large-scale vibration table is not less than 10m multiplied by 10m.
6. The soil mass effective vibration participation quality determination method for the vibration analysis of the large-scale vibrating table as claimed in claim 1, characterized in that: the soil body boundary is constrained by hinging at the bottom and the periphery.
7. A soil mass effective vibration participating quality determining system for vibration analysis of a large-scale vibrating table is characterized by comprising the following components: one or more processors; and memory storing instructions executable by the one or more processors to cause the system to perform the method of any one of claims 1-6.
CN202210700503.4A 2022-06-20 2022-06-20 Soil mass effective vibration participating quality determination method for vibration analysis of large-scale vibration table Pending CN115204006A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116362084A (en) * 2023-03-30 2023-06-30 南通市计量检定测试所 Design method of cooling structure of air-cooled electric vibrating table

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116362084A (en) * 2023-03-30 2023-06-30 南通市计量检定测试所 Design method of cooling structure of air-cooled electric vibrating table

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